You are actually here touching two questions in one. First one is how to host your application. And as @toskv mentioned its really too broad question to be answered and depends on numerous different things. Second one is more specific - how do you prepare the deployment version of the application. You have several options here:

Deploy as it is. Just that - no minification, concatenation, name mangling etc. Transpile all your ts project, copy all your resulting js/css/... sources + dependencies to the hosting server and your are good to go.

Deploy using special bundling tools. Like webpack or systemjs builder. They come with all possibilities that are lacking in #1. You can pack all your app code into just couple of js/css/... files that you reference in your html. Systemjs buider even allows you to get rid of need to include systemjs as part of your deployment package.

Yes you will most likely need to deploy systemjs and bunch of other external libraries as part of your package. And yes you will be able to bundle them into just couple of js files you reference from your html page. You do not have to reference all your compiled js files from the page though - systemjs as a module loader will take care of that.

I know it sounds muddy - to help get you started with the #2 here are two really good sample applications: